Question

Ratio of the angles of a quadrilateral are in the ratio 3:5:6:4 find the angles
​

Answer 1

Answer:

Step-by-step explanation:

let the quad ABCD with angles in ratio 3:4:5:6

let the angles be 3x,4x,5x,6x

3x+4x+5x+6x=360° (angle sum property of quad.)

18x=360°

x=20

therefore,the angles are

3x=3·20=60°-A

4x=4·20=80°-B

5x=5·20=100°-C

6x=6·20=120°-D

now,A and D are supplementary

and,B and C are supplementary

∴AB║CD

when 2 opposite sides are parallel,then the quad. is trapezium

please mark it as brainliest

Answer 2

Answer :

• Angles are 60 , 80 , 100 , 120

Given :

• Ratio of the angles of a Quadrilateral are in the ratio is 3 : 5 : 6 : 4

To find :

• Angles

Solution :

• Let the all angles of a Quadrilateral be 3x , 5x , 6x and 4x

As we know that,

• Sum of all angles of Quadrilateral is 360⁰

》3x + 5x + 6x + 4x = 360⁰

》18x = 360

》x = 360/18

》x = 20

• 3x = 3(20) = 60
• 5x = 5(20) = 100
• 6x = 6(20) = 120
• 4x = 4(20) = 80

Hence, Angles are 60 , 80 , 100 , 120

Verification :

As we know that,

• Sum of all angles of Quadrilateral is 360⁰

》60 + 80 + 100 + 120 = 360

》360 = 360

Hence verified